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Finding the Fourth Proportional to 15,902.31, 23,852.85 and 6,539.73

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Solution

The fourth proportional to 15,902.31, 23,852.85 and 6,539.73 is: 9,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.31 : 23,852.85 = 6,539.73 : x
  2. Step 2: Convert to fraction form
    15,902.31/23,852.85 = 6,539.73/x
  3. Step 3: Cross multiply
    15,902.31x = 23,852.85 × 6,539.73
  4. Step 4: Simplify right side
    15,902.31x = 155,991,198.73
  5. Step 5: Solve for x
    x = 155,991,198.73/15,902.31
  6. Step 6: Final answer
    x = 9,809.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.